i need to know how to find the norm of the function f, which represents the sequence of wavelet coefficients of f(x) 1, 0<equal x < 1 o, otherwise where f exists in l^2.

March 29th 2009, 09:18 AM

CaptainBlack

Quote:

Originally Posted by dutchchica22

i need to know how to find the norm of the function f, which represents the sequence of wavelet coefficients of f(x) 1, 0<equal x < 1 o, otherwise where f exists in l^2.

That is not very clear, could you amplify please?

CB

March 29th 2009, 01:44 PM

dutchchica22

consider the simple function f defined as f(x)= 1, o<equal x <1 and 0, otherwise. Write f prime to represent the sequence of wavelet coefficients, show that f exists in l^2. show that the norm of f = norm of f prime where the norm of the left is that of L^2(R) and the norm on the right is that of l^2.